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Finding the Fourth Proportional to 495,035.30, 681,894.90 and 414,433.41

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Solution

The fourth proportional to 495,035.30, 681,894.90 and 414,433.41 is: 570,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,035.30 : 681,894.90 = 414,433.41 : x
  2. Step 2: Convert to fraction form
    495,035.30/681,894.90 = 414,433.41/x
  3. Step 3: Cross multiply
    495,035.30x = 681,894.90 × 414,433.41
  4. Step 4: Simplify right side
    495,035.30x = 282,600,028,668.61
  5. Step 5: Solve for x
    x = 282,600,028,668.61/495,035.30
  6. Step 6: Final answer
    x = 570,868.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.